2 papers
math.AP2025
Existence and analyticity of solutions of nonlinear parabolic model equations with singular data
David Ambrose, Milton Lopes Filho, Helena Nussenzveig Lopes
We explore two approaches to proving existence and analyticity of solutions to nonlinear parabolic differential equations. One of these methods works well for more general nonlinea…
math.AP2024
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
David M. Ambrose, Megan Griffin-Pickering, Alpár R. Mészáros
We prove well-posedness of a class of kinetic-type Mean Field Games, which typically arise when agents control their acceleration. Such systems include independent variables repres…